| Autor: |
B.I. Akinnukawe, O.A. Akinfenwa, S.A. Okunuga |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
Ain Shams Engineering Journal, Vol 7, Iss 2, Pp 867-872 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
2090-4479 |
| DOI: |
10.1016/j.asej.2015.12.012 |
| Popis: |
In this paper, an L-stable Second Derivative Block Backward Differentiation Formula (SDBBDF) of order 5 is presented for the solutions of parabolic equations. It applied the use of the classical method of lines for the discretization of the parabolic equations. The method reduces the one-dimensional parabolic partial differential equation which has integral or non-integral boundary conditions to a system of Ordinary Differential Equations (ODEs) with initial conditions. The stability properties of the block method are investigated using the boundary locus plot and the method was found to be L-stable. The derived method is implemented on standard problems of parabolic equations and the results obtained show that the method is accurate and efficient. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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